Publisher DOI: 10.1007/s10915-015-0132-2
Title: Stability Analysis of Discontinuous Galerkin Approximations to the Elastodynamics Problem
Language: English
Authors: Antonietti, Paola F. 
Ayuso De Dios, Blanca 
Mazzieri, Ilario 
Quarteroni, Alfio 
Keywords: discontinuous Galerkin methods; elastodynamics equation; stability and error analysis
Issue Date: 21-Nov-2015
Publisher: Springer Science + Business Media B.V.
Source: Journal of Scientific Computing 1 (68): 143-170 (2016)
Abstract (english): 
We consider semi-discrete discontinuous Galerkin approximations of both displacement and displacement-stress formulations of the elastodynamics problem. We prove the stability analysis in the natural energy norm and derive optimal a-priori error estimates. For the displacement-stress formulation, schemes preserving the total energy of the system are introduced and discussed. We verify our theoretical estimates on two and three dimensions test problems.
URI: http://hdl.handle.net/11420/6038
ISSN: 1573-7691
Journal: Journal of scientific computing 
Institute: Mathematik E-10 
Document Type: Article
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